110110101110117 has 2 divisors, whose sum is σ = 110110101110118. Its totient is φ = 110110101110116.

The previous prime is 110110101110099. The next prime is 110110101110123. The reversal of 110110101110117 is 711011101011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71543194139041 + 38566906971076 = 8458321^2 + 6210226^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110101110117 - 2²⁴ = 110110084332901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110101110095 and 110110101110104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110101110017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055050555058 + 55055050555059.

It is an arithmetic number, because the mean of its divisors is an integer number (55055050555059).

Almost surely, 2^{110110101110117} is an apocalyptic number.

It is an amenable number.

110110101110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110101110117 is an equidigital number, since it uses as much as digits as its factorization.

110110101110117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 17.

Adding to 110110101110117 its reverse (711011101011011), we get a palindrome (821121202121128).

The spelling of 110110101110117 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred ten thousand, one hundred seventeen".